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Finding the Third Proportional to 701,473,712 and 980,701,536

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Solution

The third proportional to 701,473,712 and 980,701,536 is: 1,371,078,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,473,712 : 980,701,536 = 980,701,536 : x
  2. Step 2: Convert to fraction form
    701,473,712/980,701,536 = 980,701,536/x
  3. Step 3: Cross multiply
    701,473,712x = 980,701,536 × 980,701,536
  4. Step 4: Simplify right side
    701,473,712x = 961,775,502,712,759,296
  5. Step 5: Solve for x
    x = 961,775,502,712,759,296/701,473,712
  6. Step 6: Final answer
    x = 1,371,078,468.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.